Jeeify
MCQMediumJEE Main 2023 · 12 April, Shift 1Applications of Derivatives (Monotonicity, Extrema)

Mathematics Question from JEE Main 2023 · 12 April, Shift 1

If the local maximum value of the function f(x)=(3e2sin⁡x)sin⁡2x,x∈(0,π2)f(x) = \left( \frac{\sqrt{3e}}{2 \sin x} \right)^{\sin^2 x}, \quad x \in \left( 0, \frac{\pi}{2} \right) is ke\frac{k}{e}, then (ke)8+k8e5+k8\left( \frac{k}{e} \right)^8 + \frac{k^8}{e^5} + k^8 is equal to:

  • A

    e5+e6+e11e^5 + e^6 + e^{11}

  • B

    e3+e5+e11e^3 + e^5 + e^{11}

  • C

    e3+e6+e11e^3 + e^6 + e^{11}

  • D

    e3+e6+e10e^3 + e^6 + e^{10}

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Applications of Derivatives (Monotonicity, Extrema) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trialMore on Applications of Derivatives (Monotonicity, Extrema)

Related questions